Complete the inequality statement. 8 5/12__

Two processes are used to produce forgings used in an aircraft wing assembly. Of 200 forgings selected from process 1, 10 do not

tangare [24]

Answer:

a.

$\bar p_1=0.05\\\bar p_2=0.067$

b-Check illustration below

c.(-0.0517,0.0177

Step-by-step explanation:

a.let $p_1 \& p_2$ denote processes 1 & 2.

For $p_1$ : T1=10,n1=200

For $p_2$ :T2=20,n2=300

Therefore

$\bar p_1=\frac{t_1}{N_1}=\frac{10}{200}=0.05\\\bar p_2=\frac{t_2}{N_2}=\frac{20}{300}=0.067$

b. To test for hypothesis:-

i.

$H_0:p_1=p_2\\H_A=p_1\neq p_2\\\alpha=0.05$

ii.For a two sample Proportion test

$Z=\frac{\bar p_1-\bar p_2}{\sqrt(\bar p(1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})}\\$

iii. for $\frac{\alpha}{2}=(-1.96,+1.96)$ (0.5 alpha IS 0.025),

reject $H_o$ if $|Z|>1.96$

iv. Do not reject $H_o$ . The noncomforting proportions are not significantly different as calculated below:

$z=\frac{0.050-0.067}{\sqrt {(0.06\times0.94)\times \frac{1}{500}}}$

z=-0.78

c. $(1-\alpha).100\%$ for the p1-p2 is given as:

$(\bar p_1-\bar p_2)\pm Z_0_._5_\alpha \times \sqrt \frac{ \bar p_1(1-\bar p_1)}{n_1}+\frac{\bar p_2(1-\bar p_2)}{n_2}\\\\=(0.05-0.067)\pm 1.645 \times \sqrt \ \frac{0.05+0.95}{200}+\frac{0.067+0.933}{300}\\$

=(-0.0517,+0.0177)

*CI contains o, which implies that proportions are NOT significantly different.

4 0

2 years ago

Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan

vovangra [49]

Answer:

a. Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

Loan P

Monthly payments for a 9-year 5.8% loan for $19,450 are $231.59, so the total repaid is ...

108 payments × $231.59 per payment = $25,011.72

Together with the service charge, the cost of the loan is ...

$25,011.72 + 925.00 - 19,450 = $6,486.72

__

Loan Q

Monthly payments for a 10-year 5.5% loan for $19,450 are $211.08, so the total repaid is ...

120 payments × $211.08 per payment = $25,329.60

Together with the service charge, the cost of the loan is ...

$25,329.60 +690.85 -19,450 = $6,570.45

__

Difference of charges

The cost of Loan Q exceeds that of Loan P by ...

$6,570.45 -6486.72 = $83.73 . . . . . matches choice A

_____

The payment values here were computed using a financial calculator. They can be found using the TVM Solver of a graphing calculator (TI-84), or by any spreadsheet. A number of web sites will also calculate loan payment values, or you can use the formula in your text to compute them yourself.

3 0

2 years ago

At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion ring

AlladinOne [14]

Answer:

There were 6 onion rings and 2 slider in the combination meal.

Step-by-step explanation:

Let x be the number of onion rings and y be the number of slider.

Calories in one onion ring = 45 calories

Calories in one slider = 325 calories

Total number of calories = 920

Thus, we can write the equation:

$45x + 325y = 920$

There are 3 times as many onion rings as the sliders.

Thus, we can write the equation:

$x = 3y$

Solving the two equation by substitution method, we get,

$45(3y) + 325y = 920\\460y = 920\\y = 2\\x = 3y = 3(2) = 6$

Thus, there were 6 onion rings and 2 slider in the combination meal.

7 0

2 years ago

Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,

taurus [48]

Answer:

(A)(12, 9)

Step-by-step explanation:

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

Mathematically, Point Q divides the stencil internally in the ratio 1:4.

For internal division of a line with beginning point $(x_1,y_1)$ and end point $(x_2,y_2)$ in the ratio m:n, we use the formula

$Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )$

$(x_1,y_1)=(2, -1)$ , $(x_2,y_2)=?$ , Q(x,y)=(4,1), m:n=1:4

Therefore:

$(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)$

The correct option is A.

6 0

2 years ago

Read 2 more answers

Two angles form a straight angle one angle measures 77 degrees what is the measure of the other angle

Nastasia [14]

The sum of a straight angle is 180°
So 77+x=180
Subtract 77 from both sides and the equation is
x=77

The measure of the other angle is 77°

4 0

2 years ago

Complete the inequality statement. 8 5/12___ 8 3/8 > < =